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dc.contributor.authorArvanitakis, A. I.en
dc.contributor.authorKalpakides, V. K.en
dc.date.accessioned2015-11-24T17:39:24Z-
dc.date.available2015-11-24T17:39:24Z-
dc.identifier.issn0939-1533-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/14642-
dc.rightsDefault Licence-
dc.subjectphase transitionen
dc.subjectlevel set methoden
dc.subjectmaterial forcesen
dc.subjectkinetic relationen
dc.subjectjump conditionsen
dc.subjectsolidsen
dc.titleThe concept of material forces in phase transition problems within the level-set frameworken
heal.typejournalArticle-
heal.type.enJournal articleen
heal.type.elΆρθρο Περιοδικούel
heal.identifier.primaryDOI 10.1007/s00419-011-0517-0-
heal.identifier.secondary<Go to ISI>://000297114900002-
heal.languageen-
heal.accesscampus-
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μηχανικών Επιστήμης Υλικώνel
heal.publicationDate2011-
heal.abstractThe dynamics of a phase transition front in solids using the level set method is examined in this paper. Introducing an implicit representation of singular surfaces, a regularized version of the sharp interface model arises. The interface transforms into a thin transition layer of nonzero thickness where all quantities take inhomogeneous expressions within the body. It is proved that the existence of an inhomogeneous energy of the material predicts inhomogeneity forces that drive the singularity. The driving force is a material force entering the canonical momentum equation (pseudo-momentum) in a natural way. The evolution problem requires a kinetic relation that determines the velocity of the phase transition as a function of the driving force. Here, the kinetic relation is produced by invoking relations that can be considered as the regularized versions of the Rankine-Hugoniot jump conditions. The effectiveness of the method is illustrated in a shape memory alloy bar.en
heal.publisherSpringer-Verlagen
heal.journalNameArchive of Applied Mechanicsen
heal.journalTypepeer reviewed-
heal.fullTextAvailabilityTRUE-
Appears in Collections:Άρθρα σε επιστημονικά περιοδικά ( Ανοικτά)

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